Part B: Hypothesis Testing and Confidence Intervals

Complete the following four hypotheses, using ? = 0.05 for each.

1. Mean sales per week exceeds 41.5 per salesperson
2. Proportion receiving online training is less than 55%
3. Mean calls made among those with no training is less than 145
4. Mean time per call is greater than 15 minutesUsing the same data set from part A, perform the hypothesis test for each speculation in order to see if there is evidence to support the manager's belief. Use the Seven Elements of a Test of Hypothesis from Section 7.1 of your text book, as well as the p-value calculation from Section 7.3, and explain your conclusion in simple terms.
5. Compute 99% confidence intervals for each of the variables described in a.-d., and interpret these intervals.
6. Create a report about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical.

Format for report:

1. Summary Report (about one paragraph on each of the speculations a.- d.)
2. Appendix with the calculations of the Seven Elements of a Test of Hypothesis, the p-values, and the confidence intervals. Include the Excel formulas used in the calculations.

Sales (Y) 48 32 44 47 41 46 32 46 42 33 42 50 42 41 41 44 36 47 38 21 67 45 52 37 33 31 44 44 39 43 42 49 41 40 37 36 46 41 49 42 37 37 21 39 44 49 35 Calls (X1) 171 139 165 186 180 184 120 172 161 143 181 148 140 198 149 168 121 149 135 185 155 149 193 159 152 170 192 165 150 174 168 178 164 191 132 140 171 170 153 154 142 130 177 160 134 131 130 Time (X2) 13.0 16.9 15.7 13.5 14.0 12.7 19.9 14.7 13.2 15.4 11.5 16.0 17.5 13.2 17.3 11.0 18.0 15.8 18.5 18.9 17.9 13.5 13.7 18.1 15.0 14.3 16.7 12.4 15.3 12.7 16.4 15.1 17.8 19.0 10.0 15.7 14.9 12.3 19.0 14.3 13.9 16.9 17.0 14.3 19.4 14.6 19.4 Years (X3) 5 4 3 3 2 5 3 3 1 3 4 0 2 2 0 5 2 1 1 2 1 1 5 0 3 4 1 3 3 2 0 3 3 5 0 1 5 0 3 2 3 2 0 4 5 1 4 Type ONLINE NONE ONLINE ONLINE ONLINE ONLINE NONE GROUP GROUP NONE ONLINE NONE GROUP ONLINE ONLINE ONLINE NONE GROUP GROUP ONLINE NONE ONLINE ONLINE NONE GROUP GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE GROUP ONLINE NONE NONE ONLINE ONLINE GROUP GROUP NONE NONE ONLINE NONE GROUP GROUP NONE 46 43 41 48 39 40 48 50 44 43 33 32 46 48 56 44 34 43 33 49 50 52 45 48 35 44 44 67 51 41 40 45 41 40 47 48 42 41 29 48 33 48 45 36 43 42 49 50 183 169 155 182 140 157 167 144 168 175 150 155 163 162 189 153 158 160 173 178 189 184 174 188 149 159 160 166 178 178 176 138 159 145 151 186 194 152 145 188 139 201 156 131 161 152 178 157 15.4 14.0 16.0 13.0 12.4 15.4 14.8 15.8 12.4 13.6 14.9 17.9 16.6 14.5 15.0 15.3 14.2 10.9 17.5 18.3 14.3 11.4 13.6 13.6 15.6 14.6 14.8 18.9 16.5 13.4 12.6 15.3 18.8 14.7 16.6 14.2 13.6 14.5 19.0 11.3 19.3 12.5 13.2 18.5 17.3 14.6 16.4 15.9 4 5 2 2 1 1 3 2 2 5 2 1 2 4 3 2 3 4 1 2 1 4 2 0 1 2 2 1 1 2 1 2 2 2 2 1 2 4 2 2 3 1 3 2 3 1 2 3 ONLINE GROUP ONLINE ONLINE NONE ONLINE ONLINE NONE GROUP GROUP GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE ONLINE ONLINE GROUP ONLINE ONLINE ONLINE ONLINE GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE NONE ONLINE NONE GROUP ONLINE ONLINE GROUP NONE ONLINE GROUP ONLINE GROUP NONE ONLINE ONLINE ONLINE GROUP 42 44 45 48 39 154 156 170 170 144 15.3 20.0 14.2 17.4 17.7 1 0 1 5 3 GROUP ONLINE ONLINE ONLINE NONE